The Rangers traded fourth-line winger Lee Stempniak on Sunday to the Jets in exchange for 24-year-old Swedish winger Carl Klingberg. Later in the night, they sent a fourth-round pick to the Sharks in exchange for center James Sheppard.

Stempniak, 31, had signed a one-year, $900,000 deal with the Rangers this past offseason, but had underwhelmed with his play. He has been in and out of the lineup, and had what was likely his most assertive game as a Rangers on Thursday night against the Coyotes, when he scored twice, including the game-winner with 2:14 left in regulation.

Klingberg has spent most of the past two seasons in the AHL after being the 34th-overall pick in the 2009 draft. He has a $650,000 deal and will be a restricted free agent this summer.

The plan is for Klingberg will report to AHL Hartford, while the Rangers play host to the Predators on Monday night.

Sheppard, 26, is a left-handed center who was the ninth overall pick by the Wild in 2006. He had five goals and 16 points in 57 games for San Jose this season.

Winger Jesper Fast took part in his first full-team practice on Sunday, and is “very, very close to playing,” according to coach Alain Vigneault. Fast has missed the past 11 games with a knee injury sustained in Nashville on Feb. 7.

“I haven’t played a game in a long time,” Fast said, “but as soon as the medical team says ‘yes’ and the coach puts me in the lineup, I’m ready to go.”

If Fast can’t play, the Rangers would only have 11 healthy forwards, not including the new-addition, Klingberg.

Defenseman Dan Girardi missed Sunday’s practice with what the team called a “maintenance day” related to the Vinny Lecavalier shot he took in the foot in Saturday’s 4-2 loss to the Flyers in Philadelphia.

Vigneault said that Girardi had X-rays after the game, but that “everything is good.”

Girardi has missed just four games due to injury since coming up in 2006.

The Rangers’ power play struggled on Saturday in going 0-for-3. Despite scoring twice in Thursday’s 4-3 win over the Coyotes, the man-advantage is 2-for-21 in the past eight games.

“Our power play, on some nights it’s been good, on other nights, it wasn’t good [Saturday] night,” said Vigneault, whose group is ranked 11th in the league (18.8 percent). “Unfortunately, we got outworked a little bit and we lost the game on their third goal, when we got beat back into our own end. We’re going to go back [Monday] against the best team in the league, and see if we can play better, our power play included.”